We take t = 0 to be the time when the boat starts to decelerate. One of the heavier reels, at 58 ounces, the reel holds 900 yards of 30-pound line and features 30 pounds of stopping. Constructed with a one-piece aluminum frame, the two-speed reel provides 37 inches of line per crank with its 3.8-to-1 gear ratio. (d) Since the initial position is taken to be zero, we only have to evaluate the position function at The Penn International 30 VISX is the wide-bodied variety of the popular line of reels from Penn. (c) Similarly, we must integrate to find the position function and use initial conditions to find the constant of integration. (b) We set the velocity function equal to zero and solve for t. (a) To get the velocity function we must integrate and use initial conditions to find the constant of integration. (a) What is the velocity function of the motorboat? (b) At what time does the velocity reach zero? (c) What is the position function of the motorboat? (d) What is the displacement of the motorboat from the time it begins to decelerate to when the velocity is zero? (e) Graph the velocity and position functions. Time: is applied as both musical and dance elements (beat, tempo, speed, rhythm, sudden, slow, sustained). Using integral calculus, we can work backward and calculate the velocity function from the acceleration function, and the position function from the velocity function.Ī motorboat is traveling at a constant velocity of 5.0 m/s when it starts to decelerate to arrive at the dock. Elements of Dance Space: refers to the space through which the dancer’s body moves (general or personal space, level, size, direction, pathway, focus). By taking the derivative of the position function we found the velocity function, and likewise by taking the derivative of the velocity function we found the acceleration function. In Instantaneous Velocity and Speed and Average and Instantaneous Acceleration we introduced the kinematic functions of velocity and acceleration using the derivative. This section assumes you have enough background in calculus to be familiar with integration. Find the functional form of position versus time given the velocity function.Find the functional form of velocity versus time given the acceleration function.No syncopated step combinations) Steps or Step Combinations within this level could include:- a. Use the integral formulation of the kinematic equations in analyzing motion. NEW LINE-DANCE LEVELS: GUIDELINES NOVICE - LEVEL 1 The total number of counts within the dance not to exceed 24 The dance should only be of one wall All steps within this level should be of a single count.Derive the kinematic equations for constant acceleration using integral calculus.By the end of this section, you will be able to: